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Beliebt Rechnen >

y^'=arctan(x/2)

Lösung

y^{^{'}} = arctan (\frac{x}{2})

Lösung

y = x arctan (\frac{x}{2}) - ln (x^{2} + 4) + c_{1}

Schritte zur Lösung

y^{'} (x) = arctan (\frac{x}{2})

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int arctan (\frac{x}{2}) d x

\int arctan (\frac{x}{2}) d x = x arctan (\frac{x}{2}) - ln (x^{2} + 4) + c_{1}

y = x arctan (\frac{x}{2}) - ln (x^{2} + 4) + c_{1}

Graph

Beliebte Beispiele

integral of x*e^{-5x}

\int x \cdot e^{- 5 x} d x

derivative of 5^{5x}

\frac{d}{d x} (5^{5 x})

integral of 1/3 tan(3x)

\int \frac{1}{3} tan (3 x) d x

integral of cos^2(θ)-sin^2(θ)

\int cos^{2} (θ) - sin^{2} (θ) d θ

limit as x approaches 0 of (1-8x)^{1/x}

x \to 0 lim ((1 - 8 x)^{\frac{1}{x}})